SOLUTION: How many different “words” can be formed by using all the letters of each of the following words exactly once? a. “ALICE” b. “APPLE”

Algebra ->  Permutations -> SOLUTION: How many different “words” can be formed by using all the letters of each of the following words exactly once? a. “ALICE” b. “APPLE”      Log On


   



Question 1193599: How many different “words” can be formed by using all the letters of each of the
following words exactly once?
a. “ALICE”
b. “APPLE”

Answer by ikleyn(52776) About Me  (Show Source):
You can put this solution on YOUR website!
.

(a)  5 different letters admit 5! = 5*4*3*2*1 = 120 PERMUTATIONS.


(b)  5 letters, with one letter  "P"  of the multiplicity 2 admit  5%21%2F2 = 120%2F2 = 60 different arrangements.

Solved.

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On permutations, see the lessons
    - Introduction to Permutations
    - PROOF of the formula on the number of Permutations
    - Simple and simplest problems on permutations
    - Arranging elements of sets containing indistinguishable elements
in this site.

Also,  you have this free of charge online textbook in ALGEBRA-II in this site
    - ALGEBRA-II - YOUR ONLINE TEXTBOOK.

The referred lessons are the part of this online textbook under the topic  "Combinatorics: Combinations and permutations".


Save the link to this textbook together with its description

Free of charge online textbook in ALGEBRA-II
https://www.algebra.com/algebra/homework/complex/ALGEBRA-II-YOUR-ONLINE-TEXTBOOK.lesson

into your archive and use when it is needed.